document.write( "Question 609827: standard form for hyperbola center= (0,0) vertex= (0,6) and focus= (0,8) \n" ); document.write( "
Algebra.Com's Answer #383995 by ewatrrr(24785)\"\" \"About 
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document.write( "Hi
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document.write( "Note: Standard Form of an Equation of an Hyperbola opening up and down is:
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document.write( "  \"%28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1\" where Pt(h,k) is a center  with vertices 'b' units up and down from center.
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document.write( "hyperbola center= (0,0) vertex= (0,6) and focus= (0,8)  ||opening up and down along the x-axis
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document.write( "\"%28y%29%5E2%2F6%5E2+-+%28x%29%5E2%2Fa%5E2+=+1\"     || focus(0,8) and 8 = \"sqrt%286%5E2+%2B+a%5E2%29\", a = ± \"sqrt%2828%29\"
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document.write( "\"%28y-k%29%5E2%2F36+-+%28x%29%5E2%2F28+=+1\"
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document.write( "See below descriptions of various conics                         
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document.write( "Standard Form of an Equation of a Circle is \"%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2\" 
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document.write( "where Pt(h,k) is the center and r is the radius\r
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document.write( " Standard Form of an Equation of an Ellipse is \"%28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+\" where Pt(h,k) is the center. (a positioned to correspond with major axis)
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document.write( " a and b  are the respective vertices distances from center and ±\"sqrt%28a%5E2-b%5E2%29\"are the foci distances from center: a > b\r
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document.write( "Standard Form of an Equation of an Hyperbola opening right and  left is:
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document.write( "  \"%28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2Fb%5E2+=+1\" where Pt(h,k) is a center  with vertices 'a' units right and left of center.\r
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document.write( "Standard Form of an Equation of an Hyperbola opening up and down is:
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document.write( "  \"%28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1\" where Pt(h,k) is a center  with vertices 'b' units up and down from center.\r
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document.write( "the vertex form of a parabola opening up or down, \"y=a%28x-h%29%5E2+%2Bk\" where(h,k) is the vertex.
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document.write( "The standard form is \"%28x+-h%29%5E2+=+4p%28y+-k%29\", where  the focus is (h,k + p)\r
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document.write( "the vertex form of a parabola opening right or left, \"x=a%28y-k%29%5E2+%2Bh\" where(h,k) is the vertex.
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document.write( "The standard form is \"%28y+-k%29%5E2+=+4p%28x+-h%29\", where  the focus is (h +p,k ) \n" );
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